Other: no one could possibly know this and it doesn't matter.
Of course it matters, for the reasons Mikado pointed out. The fact that you do not care doesn't change that.
You can never know for sure, but linguistic analysis has made it clear that the author of these texts are almost certainly not identical. "Almost certainly" is often all you got in historical research, that doesn't invalidate it.
Why does it really matter whether Revelation was actually written by John the Evangelist or one of his early followers who penned it in his name? The point of Scripture isn't the author but the truths it contains. In the case of Revelation, I can't see the point in putting too much in it beyond accepting that a guy named John had a bunch of visions that no one knows what they mean.